Maximal Nilpotent Subalgebras I: Nilradicals and Cartan Subalgebras in Associative Algebras. With 428 Exercises
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| Title: | Maximal Nilpotent Subalgebras I: Nilradicals and Cartan Subalgebras in Associative Algebras. With 428 Exercises |
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| Description: | During the author's doctorate time at the Christian-Albrechts-Universitat to Kiel, Salvatore Siciliano gave a stimulating talk in the upper seminar algebra theory about Cartan subalgebras in Lie algebra associates to associative algebra. This talk was the incentive for the author to analyze maximal nilpotent substructures of the Lie algebra associated to associative algebras. In the present work Siciliano's theory about Cartan subalgebras is worked off and expanded to different special associative algebra classes. In addition, a second maximal nilpotent substructure is analyzed: the nilradical. Within this analysis the main focus is to describe these substructure with the associative structure of the underlying algebra. This is successfully realized in this work. Numerous examples (like group algebras and Solomon (Tits-) algebras) illustrate the results to the reader. Within the numerous exercises these results can be applied by the reader to get a deeper insight in this theory. |
| Authors: | Wirsing, Sven Bodo |
| Resource Type: | eBook. |
| Subjects: | Lie algebras |
| Categories: | MATHEMATICS / Algebra / Intermediate, MATHEMATICS / Pre-Calculus, MATHEMATICS / Reference, MATHEMATICS / Essays |
| Database: | eBook Collection (EBSCOhost) |
| FullText | Links: – Type: ebook-pdf Text: Availability: 0 |
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| Header | DbId: nlebk DbLabel: eBook Collection (EBSCOhost) An: 1641041 RelevancyScore: 1077 AccessLevel: 6 PubType: eBook PubTypeId: ebook PreciseRelevancyScore: 1077.00524902344 |
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| Items | – Name: Title Label: Title Group: Ti Data: Maximal Nilpotent Subalgebras I: Nilradicals and Cartan Subalgebras in Associative Algebras. With 428 Exercises – Name: Abstract Label: Description Group: Ab Data: During the author's doctorate time at the Christian-Albrechts-Universitat to Kiel, Salvatore Siciliano gave a stimulating talk in the upper seminar algebra theory about Cartan subalgebras in Lie algebra associates to associative algebra. This talk was the incentive for the author to analyze maximal nilpotent substructures of the Lie algebra associated to associative algebras. In the present work Siciliano's theory about Cartan subalgebras is worked off and expanded to different special associative algebra classes. In addition, a second maximal nilpotent substructure is analyzed: the nilradical. Within this analysis the main focus is to describe these substructure with the associative structure of the underlying algebra. This is successfully realized in this work. Numerous examples (like group algebras and Solomon (Tits-) algebras) illustrate the results to the reader. Within the numerous exercises these results can be applied by the reader to get a deeper insight in this theory. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Wirsing%2C+Sven+Bodo%22">Wirsing, Sven Bodo</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Lie+algebras%22">Lie algebras</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Algebra+%2F+Intermediate%22">MATHEMATICS / Algebra / Intermediate</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Pre-Calculus%22">MATHEMATICS / Pre-Calculus</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Reference%22">MATHEMATICS / Reference</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Essays%22">MATHEMATICS / Essays</searchLink> |
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| RecordInfo | BibRecord: BibEntity: Classifications: – Code: 512.482 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Lie algebras Type: general Titles: – TitleFull: Maximal Nilpotent Subalgebras I: Nilradicals and Cartan Subalgebras in Associative Algebras. With 428 Exercises Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Wirsing, Sven Bodo – PersonEntity: Name: NameFull: Wirsing, Sven Bodo IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2017 – D: 25 M: 04 Type: profile Y: 2018 Identifiers: – Type: isbn-print Value: 9783960671039 – Type: isbn-electronic Value: 9783960676034 Titles: – TitleFull: Maximal Nilpotent Subalgebras I: Nilradicals and Cartan Subalgebras in Associative Algebras. With 428 Exercises Type: main |
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